Analytical Solution to the Minimum Energy Consumption Based Velocity Profile Optimization Problem With Variable Road Grade

Ozatay, Engin; Özgüner, Ü.; Michelini, John; Filev, Dimitar

doi:10.3182/20140824-6-za-1003.01360

Cited by 58 publications

(35 citation statements)

References 10 publications

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“…We call it the symmetric road. Its corresponding road angle α sym (s) is provided in Equation (32). The results are listed in Table 2.…”

Section: An Illustrative Examplementioning

confidence: 93%

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The Optimal Road Grade Design for Minimizing Ground Vehicle Energy Consumption

Liu

Feng

2017

Energies

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Abstract:Reducing energy consumption of ground vehicles is a paramount pursuit in academia and industry. Even though the road infrastructural has a significant influence on vehicular fuel consumption, the majority of the R&D efforts are dedicated to improving vehicles. Little investigation has been made in the optimal design of the road infrastructure to minimize the total fuel consumption of all vehicles running on it. This paper focuses on this overlooked design problem and the design parameters of the optimal road infrastructure is the profile of road grade angle between two fixed points. We assume that all vehicles on the road follow a given acceleration profile between the two given points. The mean value of the energy consumptions of all vehicles running on the road is defined as the objective function. The optimization problem is solved both analytically by Pontryagin's minimum principle and numerically by dynamic programming. The two solutions agree well. A large number of Monte Carlo simulations show that the vehicles driving on the road with the optimal road grade consume up to 31.7% less energy than on a flat road. Finally, a rough cost analysis justifies the economic advantage of building the optimal road profile.

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“…We call it the symmetric road. Its corresponding road angle α sym (s) is provided in Equation (32). The results are listed in Table 2.…”

Section: An Illustrative Examplementioning

confidence: 93%

“…Analytical solution may be found only if the state space model, the objective function, and the velocity profile are very simple. See [32][33][34] for examples of finding analytical solutions to minimize vehicular energy consumption.…”

Section: Analytical Solutionmentioning

confidence: 99%

The Optimal Road Grade Design for Minimizing Ground Vehicle Energy Consumption

Liu

Feng

2017

Energies

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“…To help the drivers to reduce the energy consumption of their vehicles, a human machine interface (HMI) integrated in the dashboard proposes the optimal speed and gear-box ratio set points to the driver. The computation of these setpoints can be formulated as an optimization problem under constraints such as speed limits, traffic information, the trip duration and the final destination [1], [8]- [10]. Depending on the horizon of the available information, two scenarios are distinguished: Off-line scenario and On-line scenario.…”

Section: Introductionmentioning

confidence: 99%

Optimal Predictive Eco-Driving Cycles for Conventional, Electric, and Hybrid Electric Cars

Maamria

Gillet

Colin

et al. 2019

IEEE Trans. Veh. Technol.

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“…The idea of eco-driving is to determine the velocity trajectory that minimizes the vehicle energy consumption under final time and distance constraints. This question can be formulated as an Optimal Control Problem (OCP) as in (Petit and Sciarretta, 2011;Monastyrsky and Golownykh, 1993;Ozatay et al, 2014;Hellstrom et al, 2010). The ecodriving problem was addressed for conventional vehicles in (F. Mensing, 2013;Sciarretta et al, 2015), for electric cars in (Dib et al, 2014;Petit and Sciarretta, 2011;F.…”

Section: Introductionmentioning

confidence: 99%

Optimal eco-driving for conventional vehicles: Simulation and experiment

Maamria¹,

Gillet²,

Colin³

et al. 2017

IFAC-PapersOnLine

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In this paper, the problem of eco-driving for a conventional vehicle equipped with an internal combustion engine is studied. The associated optimal control problem is formulated and solved using Dynamic Programming (DP). The impact of the mesh choice on the optimality of the DP solution is investigated in order to find a trade-off between the optimality of the DP solution and its computation time. The eco-driving speed trajectories obtained were tested on a high-frequency HIL (Hardware-In-theLoop) engine test bench to quantify the real reductions in fuel consumption. Simulations and experiments are compared.

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Analytical Solution to the Minimum Energy Consumption Based Velocity Profile Optimization Problem With Variable Road Grade

Cited by 58 publications

References 10 publications

The Optimal Road Grade Design for Minimizing Ground Vehicle Energy Consumption

The Optimal Road Grade Design for Minimizing Ground Vehicle Energy Consumption

Optimal Predictive Eco-Driving Cycles for Conventional, Electric, and Hybrid Electric Cars

Optimal eco-driving for conventional vehicles: Simulation and experiment

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